In: Finance
KFA expects to pay the following dividends over the next 4 years: $3.00, $4.00, $5.00, and $6.00. After that, it expects to pay dividends that grow at 4%/year. If the required equity return is 15%, what should be today's share price?
Current market price today is present value of stock that is equal to present value of dividend received up to 4 Years and Price of stock received at end of 4 Year |
Growth rate (g)= | 4% |
Required rate of return = | 15% |
Dividned for year 5(D5) = D4*(1+g) |
|
6*(1+4%)= | 6.24 |
Price of stock received at end of year 4 (P4) = Dividend for year 5/(ke-g) |
|
6.24/(15%-4%)= | 56.72727273 |
Calculation of P0 or current market price |
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Year | Cash flows | P.V.F.@ 15% |
Cash flows * PVF |
1 (D1) | 3 | 0.8695652174 | 2.608695652 |
2 (D2) | 4 | 0.7561436673 | 3.024574669 |
3 (D3) | 5 | 0.6575162324 | 3.287581162 |
4 (D4) | 6 | 0.5717532456 | 3.430519474 |
4 (P4) | 56.72727273 | 0.5717532456 | 32.4340023 |
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Current value | 44.78537325 | ||
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So, Current price of stock is $44.79 |
Note : PVF formula = 1/(1+i)^n
For 1 year, 1/(1+0.15)^1 = |
0.8695652174 | ||
For 2 year, 1/(1+0.15)^2 = |
0.7561436673 | ||
For 3 year, 1/(1+0.15)^3= |
0.6575162324 | ||
For 4 year, 1/(1+0.15)^4= |
0.5717532456 |
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